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Decimal expansion of sqrt(1 + sqrt(2 + sqrt(3 + sqrt(5 + sqrt(7 + ... + sqrt(prime(k) + ...)))))).
1

%I #4 Aug 15 2021 21:54:03

%S 1,7,6,1,7,0,3,0,1,0,2,5,4,5,3,6,9,8,9,9,0,8,1,7,7,1,3,6,6,3,7,1,8,2,

%T 1,0,2,1,4,6,9,5,5,1,6,1,6,6,4,6,0,7,1,7,4,2,1,6,0,6,5,7,2,5,7,0,7,9,

%U 2,3,7,8,4,5,7,1,0,8,4,7,4,7,4,3,6,3,6,5,0,7,3,9,7,2,4,8,0,1,1,5,8,4,3,5,7,0,6,6,2,2

%N Decimal expansion of sqrt(1 + sqrt(2 + sqrt(3 + sqrt(5 + sqrt(7 + ... + sqrt(prime(k) + ...)))))).

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/NestedRadical.html">Nested Radical</a>

%e 1.761703010254536989908177136637182102146955...

%Y Cf. A008578, A072449, A105546, A239349.

%K nonn,cons

%O 1,2

%A _Ilya Gutkovskiy_, Aug 15 2021